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Finding the Fourth Proportional to 710.46, 1,069.86 and 620.22

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Solution

The fourth proportional to 710.46, 1,069.86 and 620.22 is: 933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.46 : 1,069.86 = 620.22 : x
  2. Step 2: Convert to fraction form
    710.46/1,069.86 = 620.22/x
  3. Step 3: Cross multiply
    710.46x = 1,069.86 × 620.22
  4. Step 4: Simplify right side
    710.46x = 663,548.57
  5. Step 5: Solve for x
    x = 663,548.57/710.46
  6. Step 6: Final answer
    x = 933.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.